What you will see will be an increasing number of younger and younger objects until you reach a point where the individual objects are too faint to see and only their diffuse light remains...like the billions of stars that make up the faint glow of the Milky Way. Eventually you reach objects so young that you arrive at the 300,000 year marker when all that existed was a dilute plasma, which is the glow seen by the COBE satellite. You never reach a true edge to space. You just run out of objects that are old enough and bright enough to be detected.